fabiisawesome13 fabiisawesome13
  • 01-05-2022
  • Mathematics
contestada

Use log 2=a, log 3=b to evaluate log 216

Respuesta :

kalulesultan
kalulesultan kalulesultan
  • 01-05-2022

Answer:

answer = 3(a +b)

Step-by-step explanation:

[tex] log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)[/tex]

Answer Link

Otras preguntas

Simplify (4x − 6) + (3x + 6) out of these what one is right? 7x 7x − 12
Choose the missing step in the given solution to the inequality -x - 3 < 13 + 3x
Scientists use diagrams called _______ to trace the flow of energy through the ecosystems.
If you went to the moon, how would your weight change relative to your weight on Earth? It would be the same on the moon as on Earth It would increase becaus
how did corruption hurt the republicans during the 1920's?
What time does the president get sworn in?
The price of a pair of shoes is $45.90. The sales-tax rate is 5 percent. How much sales tax do you need to pay? $0.30
the word cinema means A) animals. B) art. C) film. D) literature.
Jorge has $300 for work he performed. He expects to spend the money in the next few weeks to buy a new bike. Which type of account will be best for Jorge? A Cer
Which rule represents the relationship in the table above? y=440x y=440-x y=x-12 y=440-12x